E=(-a-b+c+d)-(d+c-b-2a)

E=-a-b+c+d-d-c+b+2a

E=-a+(-)b+c+d+(-d)+(-c)+b+2a

E=-a+(-b)+c+d+(-d)+(-c)+b+2a

E=(2a-a)+(-b+b)+(-d+d)+(-c+c)=a+0+0+0=a

thanks nhiều nha ĐỨC THỊNH

F=(a-2b-c-2d)-(3d-2c-3b+a)+15

F=a-2b-c-2d-3d+2c+3b-a+15

F=a+(-2b)+(-c)+(-2d)+(-3d)+2c+3b+(-a)+15

F=(-2b+3b)+(-c+2c)+[-2d+(-3d)]+(-a+a)+15

F=b+c+(-5d)+0+15=b+c+(-5d)+15

b: =124-312+76-112+21

=200-424+21

=221-424

=-203

a: =735+23-135+177=600+200=800

b: =124-312+76-112+21=200-424+21=-203

c: =183+21+65-183-21=65

d: \(=-271+37-160+31-137=-500\)

e: =-3a+b-3c+b+3c+2a-2b

=-a

2a/3b+3b/4c+4c/5d+5d/2a biet 2a/3b=3b/4c=4c/5d=5d/2a

=>\(\frac{2a}{3b}+\frac{3b}{4c}+\frac{4c}{5d}+\frac{5d}{2a}=\frac{2ax3bx4cx5d}{2ax3bx4cx5b}=1\)

=>1--1,4=-4

=> -4 hoac 4

C= 8a-4b+4b-a+3b

   = (8a-a)+(-4b+4b+3b)

   = 7a + 3b

   = 7.1/5+3.(-4)

   = 7/5 +(-12)

   = -53/5

\(C=4\left(2a-b\right)-\left(-4b+a\right)-\left(-3b\right)\)

\(=8a-4b+4b-a+3b\)
\(=7a+3b\)

\(=7\times\frac{1}{5}+3\times\left(-4\right)\)

\(=\frac{7}{5}-12=-\frac{53}{5}\)

22a+3b=1  (1)

12a-7b=-9  (2)

Lấy (1)-(2),vế theo vế ta được:

(22a+3b)-(12a-7b)=1-(-9)

=>22a+3b-12a+7b=1+9=10

=>(22a-12a)+(3b+7b)=10

=>10a+10b=10

=>10.(a+b)=10=>a+b=1

Khi đó trung bình cộng của a và b=\(\frac{a+b}{2}=\frac{1}{2}=0,5\)

Vậy.....

Ta có \(\hept{\begin{cases}3a=4b\\2b=5c\end{cases}}\Leftrightarrow\hept{\begin{cases}\frac{b}{3}=\frac{a}{4}\\\frac{b}{5}=\frac{c}{2}\end{cases}}\Leftrightarrow\hept{\begin{cases}\frac{b}{15}=\frac{a}{20}\\\frac{b}{15}=\frac{c}{6}\end{cases}}\Leftrightarrow\frac{a}{20}=\frac{b}{15}=\frac{c}{6}\)

Đặt \(\frac{a}{20}=\frac{b}{15}=\frac{c}{6}=k\Leftrightarrow\hept{\begin{cases}a=20k\\b=15k\\c=6k\end{cases}}\)

Khi đó a² + b² + c² = 661

<=> (20k)² + (15k)² + (6k)² = 661

<=> 661k² = 661

<=> k² = 1

<=> k = \(\pm1\)

Khi k = 1 => a = 20 ; b = 15 ; c = 6

Khi k = -1 => a = -20 ; b = - 15 ; c = -6

Ta có \(2a=3b=4c\Leftrightarrow\frac{2a}{12}=\frac{3b}{12}=\frac{4c}{12}\Leftrightarrow\frac{a}{6}=\frac{b}{4}=\frac{c}{3}\)

Áp dụng dãy tỉ số bằng nhau ta có : 

\(\frac{a}{6}=\frac{b}{4}=\frac{c}{3}=\frac{3a}{18}=\frac{4b}{16}=\frac{3a+4b-c}{18+16-3}=\frac{72}{31}\)

=> \(\hept{\begin{cases}a=\frac{432}{31}\\b=\frac{288}{31}\\c=\frac{216}{31}\end{cases}}\)

A= (-3a+5b-4c)-(-2a-3b-3c) = -3a+5b-4c+2a+3b+3c = (-3a+2a) + (5b+3b) + (-4c+3c) = -a+8b-c 

A = ( -3a + 5b - 4c ) - ( - 2a -3b - 3c )

   = -3a + 5b -4c + 2a + 3b + 3c

   = -a + 8c -c